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11213022100 = 22527232932377
BaseRepresentation
bin10100111000101100…
…10010001110010100
31001221110021112121211
422130112102032110
5140431013201400
65052353551204
7544604054350
oct123426221624
931843245554
1011213022100
114834505515
12220b275504
1310990c0c27
147852c2460
1545961bdba
hex29c592394

11213022100 has 144 divisors (see below), whose sum is σ = 29128635648. Its totient is φ = 3663221760.

The previous prime is 11213022091. The next prime is 11213022101. The reversal of 11213022100 is 122031211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716112 + ... + 4718488.

It is an arithmetic number, because the mean of its divisors is an integer number (202282192).

Almost surely, 211213022100 is an apocalyptic number.

11213022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564317824).

11213022100 is an abundant number, since it is smaller than the sum of its proper divisors (17915613548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11213022100 is a wasteful number, since it uses less digits than its factorization.

11213022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11213022100 its reverse (122031211), we get a palindrome (11335053311).

The spelling of 11213022100 in words is "eleven billion, two hundred thirteen million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 293 322 350 460 575 586 644 700 805 1150 1172 1465 1610 2051 2300 2377 2930 3220 4025 4102 4754 5860 6739 7325 8050 8204 9508 10255 11885 13478 14650 16100 16639 20510 23770 26956 29300 33278 33695 41020 47173 47540 51275 54671 59425 66556 67390 83195 94346 102550 109342 118850 134780 166390 168475 188692 205100 218684 235865 237700 273355 332780 336950 382697 415975 471730 546710 673900 696461 765394 831950 943460 1093420 1179325 1366775 1392922 1530788 1663900 1913485 2358650 2733550 2785844 3482305 3826970 4717300 4875227 5467100 6964610 7653940 9567425 9750454 13929220 16018603 17411525 19134850 19500908 24376135 32037206 34823050 38269700 48752270 64074412 69646100 80093015 97504540 112130221 121880675 160186030 224260442 243761350 320372060 400465075 448520884 487522700 560651105 800930150 1121302210 1601860300 2242604420 2803255525 5606511050 11213022100